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Marina86 [1]
3 years ago
7

If a || b || c and m9 = 76°, find the measure of each missing angle.​

Mathematics
1 answer:
insens350 [35]3 years ago
6 0

Angles 1,3,5,7,9,11 are equal to 76⁰.

Angles 2,4,6,8,19,12 are equal to 180⁰-76⁰=104⁰

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Emelina wrote the equation of a line in point-slope form as shown below.
Harman [31]

Answer: y=3x+2

Step-by-step explanation:

Given: Emelina wrote the equation of a line in point-slope form as shown below.

(y+4)=3(x+2)

To write the equation in intercept form, first we multiply 3 inside the bracket values in the right side , we get

y+4=3x+6

Now, subtract 4 from both sides , we get

y=3x+2

Hence, Emelina’s equation in slope-intercept form : y=3x+2

6 0
4 years ago
Read 2 more answers
Kieva made 5 times as many cookies as she did cupcakes. If she made 48 deserts in all , how many cupcakes did she make ?
VikaD [51]

Kieva made 8 cupcakes. 8 * 5 + 8 = 48 desserts.

In order to get this, you just have to try out different numbers of cupcakes and adjust based on whether it's too many desserts total, or not enough.

Another way to figure it out is to say that 1 cupcake + 5 cookies = 6 desserts. Then just divide 48 by 6 to get 8 which will then show you that Kieva made 8 cupcakes.

7 0
3 years ago
Suppose data made available through a health system tracker showed health expenditures were $10,348 per person in the United Sta
nignag [31]

Answer:

a) 30.08% probability the sample mean will be within $100 of the population mean.

b) 0% probability the sample mean will be greater than $12,600

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the Central Limit Theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question, we have that:

\mu = 10348, \sigma = 2500, n = 100, s = \frac{2500}{\sqrt{100}} = 250

a. What is the probability the sample mean will be within ±$100 of the population mean?

This is the pvalue of Z when X = 100 divided by s subtracted by the pvalue of Z when X = -100 divided by s. So

Z = \frac{100}{250} = 0.4

Z = -\frac{100}{250} = -0.4

Z = 0.4 has a pvalue of 0.6554, Z = -0.4 has a pvalue of 0.3556

0.6554 - 0.3546 = 0.3008

30.08% probability the sample mean will be within $100 of the population mean.

b. What is the probability the sample mean will be greater than $12,600?

This is 1 subtracted by the pvalue of Z when X = 12600. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{12600 - 10348}{250}

Z = 9

Z = 9 has a pvalue of 1.

1 - 1 = 0

0% probability the sample mean will be greater than $12,600

5 0
3 years ago
What is the ratio of 23,556 students and 4,186 teachers?
andrey2020 [161]
It would be 22556:4156

Hope This Helps You!
Good Luck Studying :)
7 0
3 years ago
The smith family's car needed 4.2 gallons of gasoline to drive a distance of 150 miles. nbased on this information, determine th
Zina [86]

hmm. ill try to work it out. try searching it up on you tube or something

8 0
4 years ago
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